On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion
DOI10.1515/jiip-2022-0012zbMath1520.80002OpenAlexW4382401048MaRDI QIDQ6171611
Publication date: 14 August 2023
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2022-0012
heat equationSturm-Liouville problemHopf-Cole transformationtransverse diffusionFourier and Laplace transformstomographic data
KdV equations (Korteweg-de Vries equations) (35Q53) Sturm-Liouville theory (34B24) Inverse problems for PDEs (35R30) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Laplace transform (44A10) Volterra integral equations (45D05) Inverse problems in thermodynamics and heat transfer (80A23) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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